(of a matrix, transformation, etc) not changed in value following multiplication by itself
Word origin
C20: from Latin idem same + potent1
idempotent in American English
(ˈaidəmˈpoutnt, ˈidəm-)
Math
adjective
1.
unchanged when multiplied by itself
noun
2.
an idempotent element
Word origin
[1865–70; idem+potent1]This word is first recorded in the period 1865–70. Other words that entered Englishat around the same time include: batting average, dunk, maverick, racism, valence
Examples of 'idempotent' in a sentence
idempotent
In this paper, we study weakly idempotent lattices with an additional interlaced operation.
Davidova D. S., Movsisyan Yu. M. 2015, 'Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions', Demonstratio Mathematicahttp://www.degruyter.com/view/j/dema.2015.48.issue-4/dema-2015-0037/dema-2015-0037.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We prove that the set of skew-circulants with complex entries has an idempotent basis.
Zhaolin Jiang, Tingting Xu, Fuliang Lu 2014, 'Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2014/418194. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Idempotent uninorms are simply defined by fixpointed negations.
Eunsuk Yang 2019, 'Fixpointed Idempotent Uninorm (Based) Logics', Mathematicshttps://www.mdpi.com/2227-7390/7/1/107. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The obtained family of mixtures combines probabilistic and idempotent (possibilistic) mixtures via a threshold.
Pap Endre 2009, 'Decision making by hybrid probabilistic: Possibilistic utility theory', Panoeconomicushttp://www.doiserbia.nb.rs/img/doi/1452-595X/2009/1452-595X0904421P.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Analogous to chemical synthesis strategies, our assembly design yields idempotent composite synthons amenable to iterative and recursive split-and-pool reaction cycles.
Arjen J. Jakobi, Eric G. Huizinga 2012, 'A Rapid Cloning Method Employing Orthogonal End Protection', PLoS ONE10.1371/journal.pone.0037617. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them.
Xiao Qimei, Liu Wenjun 2016, 'On derivations of quantales', Open Mathematicshttp://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0030/math-2016-0030.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper we determine all maximal idempotent submonoids of this monoid of type τ=(n).
Weerapong Wongpinit, Sorasak Leeratanavalee 2015, 'All Maximal Idempotent Submonoids of HypG(n)', Surveys in Mathematics and its Applicationshttp://www.utgjiu.ro/math/sma/v10/p10_03.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)